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Medical studies have established that a bungee jumper\'s chance of sustaining si

ID: 2989716 • Letter: M

Question

Medical studies have established that a bungee jumper's chance of sustaining significant vertebrae injury increases significantly if the free-fall velocity exceeds 36m/s after 4s of free fall. Your task is to determine the mass at which this criterion is exceeded given a drag coefficient (Cd) of 0.25Kg/m You know from a previous study that the following analytical solution can be used to predict fall velocity as a function of time Unfortunately this equation cannot be manipulated to explicitly solve for m (i.e you cannot isolate 'm' on the left hand side of the equation). Therefore an alternative method is to use root finding techniques. Write two M-files that uses A four-bar linkage system is shown above. The first link, a, is an input link (crank) of length 1. The second link, b, is a coupler link of length 2. The third link, c, is an output link of length 4. The forth link, d, is the fixed link (ground) of length 5. All lengths are provided in metres. The angular position of the output link (theta 4,) of a four-bar linkage corresponding to the angular position of the input link ( theta 2 ) can be computed using the Freudenstein's equation: d/a costheta 4 - d/c cos theta 2 + a2-b2+c2+d2/2ac=cos(theta 2-theta 4) The following parameters must be used for root finding: X, = 120 degree; xn = 165degree; Xi = 120 degree; xi-1 = 110degree; Delta = 0.01; precision of 0.01 %. Write an M-file that does the following:

Explanation / Answer

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